1) Question A.1 a) One approach for approximating a discrete derivative in 2D is based on computing differences of the f

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1 Question A 1 A One Approach For Approximating A Discrete Derivative In 2d Is Based On Computing Differences Of The F 1 (39.19 KiB) Viewed 20 times

1) Question A.1 a) One approach for approximating a discrete derivative in 2D is based on computing differences of the form: f(x+1,91 - "(x,y) and f(x,y+1)-f(x) Find the corresponding 3 x 3 spatial mask. [2 marks] 11) Find the equivalent filter, H(u,), in the frequency domain. Express Huv) in terms of sinusoidal functions. [8 marks] tii) Show that your result is a high pass filter [5 marks) b) A skilled medical technician is assigned the job of inspecting a certain class of images. In order to simplify the inspection task, the technician decides to use digital image enhancement and, to this end, examines a set of representative images and finds a series of problems. For each problem, stated below, propose an approach that the technician can follow to solve the problem. Provide justifications for the use of each approach and provide as much information as needed, for example if you propose the use of filters, specify the specific type of filter to be used. 4) The images do not have enough contrast. Most areas of the image appear to be too bright. [3 marks) 2 FINAL PAGE 11) The structures and boundaries in the image are blurred and thus it is hard to see the details of objects in the image. (4 marks] 1) There are random sparse black spots (pepper noise) that seem to be caused by some electronics noise. (4 marks] After correcting the problems in ) to til), the technician wants to display in white all intensities in a band between I, and 1 (0 << ! <bres, with the maximum intensity in the images), while keeping normal intensity in the remaining intensities. Propose an approach to achieve this goal. [4 marks]